I worked in scrappy, reds, blues, blacks with white for my background fabric. It may be difficult to distinguish because of that.
Anyway, here is my first block.

And this is where I started putting the blocks together. See how the background (white) doesn't come out evenly? The white blocks are doubled on one end as are all the joining blocks. I absolutely do not see a way to not have that happen using this pattern. I know sometimes another set of eyes helps. Perhaps you see something I am doing wrong?

You are doing fine. To "fix", put a sashing strip with 4 blocks (2 on each end) and white, as you will have the same problem as rows go together. Just take your time. It can be frustrating, but right now it looks great! The only other solution is to take a row off one side of each block. Since you are using three colors, your number of edge blocks needs to be divisible by three.

Yep, it needs the sashing.
I outlined the blocks so you can see how the sashing strips were constructed.
You'd need an ouside sashing border as well to complete the Irish Chain effect.

Sometimes I just hate EQ -

Assuming you're using 2" patches:

This is the sashing strip - 11 patches, obviously ONLY 2" patch across.
In your case the top and bottom two patches will be your RWB scraps.
Then a 7 unit size (or 14") piece of the white in between.
The cornerstones will also be a scrap.Attachment 369324

Ok, I folded one row out and I *think* this is the way the traditional IC would be? However, it's going to be confusing for me to figure out how to put it together, and after seeing it....not sure I don't like the non-traditional better. Hmmmm

The problem is that this McCall's block was made to be just a block (as for a pillow, maybe), rather than a whole quilt. What you need to do, is take away one column/row, from some of the blocks, in order to eliminate the extra columns and rows.

The problem is that this McCall's block was made to be just a block (as for a pillow, maybe), rather than a whole quilt. What you need to do, is take away one column/row, from some of the blocks, in order to eliminate the extra columns and rows.